How do you simplify sqrt(108x^5y^8)/sqrt(6xy^5)?

2 Answers
May 11, 2016

3x^2sqrt(2y^3)

Explanation:

sqrt(108x^5y^8)/sqrt(6xy^5)=sqrt((108x^5y^8)/(6xy^5))
=sqrt((108/6)(x^5/x)(y^8/y^5)
=sqrt((18)(x^(5-1))(y^(8-5))
=sqrt((18)(x^4)(y^3)
=3x^2sqrt(2y^3)

May 11, 2016

3x^2ysqrt(2y)

Explanation:

Each square root can be calculated separately, or because it is a division, it can be combined into a single square root.

sqrt(108x^5y^8)/sqrt(6xy^5) = sqrt(18x^4y^3) = sqrt(9 xx 2x^4y^2 y )

= 3x^2ysqrt(2y)